WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f31_0_main_Cmp : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 && arg2==arg1P_1 ], cost: 1 1: f31_0_main_Cmp -> f43_0_main_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ arg1==arg1P_2 && arg1==arg2P_2 && arg1==arg3P_2 ], cost: 1 2: f43_0_main_GE -> f31_0_main_Cmp : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>99 && arg2==arg3 && -1+arg1==arg1P_3 ], cost: 1 3: f43_0_main_GE -> f43_0_main_GE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ arg2>0 && arg2<100 && arg2==arg3 && arg1==arg1P_4 && 1+arg2==arg2P_4 && 1+arg2==arg3P_4 ], cost: 1 4: f43_0_main_GE -> f64_0_test_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ arg2>0 && arg2<100 && arg2==arg3 && arg2==arg1P_5 && arg2==arg2P_5 && arg2==arg3P_5 ], cost: 1 5: f64_0_test_LE -> f64_0_test_LE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ arg2>0 && arg2==arg3 && arg1==arg1P_6 && -1+arg2==arg2P_6 && -1+arg2==arg3P_6 ], cost: 1 6: f64_0_test_LE -> f78_0_test_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, [ 0==arg2 && 0==arg3 && arg1==arg1P_7 && arg1==arg2P_7 && arg1==arg3P_7 ], cost: 1 7: f78_0_test_LE -> f78_0_test_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, [ arg2>0 && arg2==arg3 && arg1==arg1P_8 && -1+arg2==arg2P_8 && -1+arg2==arg3P_8 ], cost: 1 8: f78_0_test_LE -> f92_0_test_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, [ 0==arg2 && 0==arg3 && arg1==arg1P_9 && arg1==arg2P_9 && arg1==arg3P_9 ], cost: 1 9: f92_0_test_LE -> f92_0_test_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2>0 && arg2==arg3 && arg1==arg1P_10 && -1+arg2==arg2P_10 && -1+arg2==arg3P_10 ], cost: 1 10: f92_0_test_LE -> f106_0_test_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ 0==arg2 && 0==arg3 && arg1==arg1P_11 && arg1==arg2P_11 && arg1==arg3P_11 ], cost: 1 11: f106_0_test_LE -> f106_0_test_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ arg2>0 && arg2==arg3 && arg1==arg1P_12 && -1+arg2==arg2P_12 && -1+arg2==arg3P_12 ], cost: 1 12: f106_0_test_LE -> f120_0_test_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ 0==arg2 && 0==arg3 && arg1==arg1P_13 && arg1==arg2P_13 && arg1==arg3P_13 ], cost: 1 13: f120_0_test_LE -> f120_0_test_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ arg2>0 && arg2==arg3 && arg1==arg1P_14 && -1+arg2==arg2P_14 && -1+arg2==arg3P_14 ], cost: 1 14: f120_0_test_LE -> f134_0_test_LE : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ 0==arg2 && 0==arg3 && arg1==arg1P_15 && arg1==arg2P_15 && arg1==arg3P_15 ], cost: 1 15: f134_0_test_LE -> f134_0_test_LE : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [ arg2>0 && arg2==arg3 && arg1==arg1P_16 && -1+arg2==arg2P_16 && -1+arg2==arg3P_16 ], cost: 1 16: f134_0_test_LE -> f148_0_test_LE : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ 0==arg2 && 0==arg3 && arg1==arg1P_17 && arg1==arg2P_17 && arg1==arg3P_17 ], cost: 1 17: f148_0_test_LE -> f148_0_test_LE : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [ arg2>0 && arg2==arg3 && arg1==arg1P_18 && -1+arg2==arg2P_18 && -1+arg2==arg3P_18 ], cost: 1 18: f148_0_test_LE -> f162_0_test_LE : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, [ 0==arg2 && 0==arg3 && arg1==arg1P_19 && arg1==arg2P_19 && arg1==arg3P_19 ], cost: 1 19: f162_0_test_LE -> f162_0_test_LE : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, [ arg2>0 && arg2==arg3 && arg1==arg1P_20 && -1+arg2==arg2P_20 && -1+arg2==arg3P_20 ], cost: 1 20: f162_0_test_LE -> f176_0_test_LE : arg1'=arg1P_21, arg2'=arg2P_21, arg3'=arg3P_21, [ 0==arg2 && 0==arg3 && arg1==arg1P_21 && arg1==arg2P_21 && arg1==arg3P_21 ], cost: 1 21: f176_0_test_LE -> f176_0_test_LE : arg1'=arg1P_22, arg2'=arg2P_22, arg3'=arg3P_22, [ arg2>0 && arg2==arg3 && arg1==arg1P_22 && -1+arg2==arg2P_22 && -1+arg2==arg3P_22 ], cost: 1 22: f176_0_test_LE -> f190_0_test_LE : arg1'=arg1P_23, arg2'=arg2P_23, arg3'=arg3P_23, [ 0==arg2 && 0==arg3 && arg1==arg1P_23 && arg1==arg2P_23 && arg1==arg3P_23 ], cost: 1 23: f190_0_test_LE -> f190_0_test_LE : arg1'=arg1P_24, arg2'=arg2P_24, arg3'=arg3P_24, [ arg2>0 && arg2==arg3 && arg1==arg1P_24 && -1+arg2==arg2P_24 && -1+arg2==arg3P_24 ], cost: 1 24: f190_0_test_LE -> f204_0_test_LE : arg1'=arg1P_25, arg2'=arg2P_25, arg3'=arg3P_25, [ 0==arg2 && 0==arg3 && arg1==arg1P_25 && arg1==arg2P_25 && arg1==arg3P_25 ], cost: 1 25: f204_0_test_LE -> f204_0_test_LE : arg1'=arg1P_26, arg2'=arg2P_26, arg3'=arg3P_26, [ arg2>0 && arg2==arg3 && arg1==arg1P_26 && -1+arg2==arg2P_26 && -1+arg2==arg3P_26 ], cost: 1 26: f204_0_test_LE -> f218_0_test_LE : arg1'=arg1P_27, arg2'=arg2P_27, arg3'=arg3P_27, [ 0==arg2 && 0==arg3 && arg1==arg1P_27 ], cost: 1 27: f218_0_test_LE -> f218_0_test_LE : arg1'=arg1P_28, arg2'=arg2P_28, arg3'=arg3P_28, [ arg1>0 && -1+arg1==arg1P_28 ], cost: 1 28: __init -> f1_0_main_Load : arg1'=arg1P_29, arg2'=arg2P_29, arg3'=arg3P_29, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 28: __init -> f1_0_main_Load : arg1'=arg1P_29, arg2'=arg2P_29, arg3'=arg3P_29, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f31_0_main_Cmp : arg1'=arg2, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f31_0_main_Cmp -> f43_0_main_GE : arg2'=arg1, arg3'=arg1, [], cost: 1 2: f43_0_main_GE -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>99 && arg2==arg3 ], cost: 1 3: f43_0_main_GE -> f43_0_main_GE : arg2'=1+arg2, arg3'=1+arg2, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1 4: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg3'=arg2, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1 5: f64_0_test_LE -> f64_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 6: f64_0_test_LE -> f78_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 7: f78_0_test_LE -> f78_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 8: f78_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 9: f92_0_test_LE -> f92_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 10: f92_0_test_LE -> f106_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 11: f106_0_test_LE -> f106_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 12: f106_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 13: f120_0_test_LE -> f120_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 14: f120_0_test_LE -> f134_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 15: f134_0_test_LE -> f134_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 16: f134_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 17: f148_0_test_LE -> f148_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 18: f148_0_test_LE -> f162_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 19: f162_0_test_LE -> f162_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 20: f162_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 21: f176_0_test_LE -> f176_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 22: f176_0_test_LE -> f190_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 23: f190_0_test_LE -> f190_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 24: f190_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 25: f204_0_test_LE -> f204_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 26: f204_0_test_LE -> f218_0_test_LE : arg2'=arg2P_27, arg3'=arg3P_27, [ 0==arg2 && 0==arg3 ], cost: 1 27: f218_0_test_LE -> f218_0_test_LE : arg1'=-1+arg1, arg2'=arg2P_28, arg3'=arg3P_28, [ arg1>0 ], cost: 1 28: __init -> f1_0_main_Load : arg1'=arg1P_29, arg2'=arg2P_29, arg3'=arg3P_29, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 2. Accelerating the following rules: 3: f43_0_main_GE -> f43_0_main_GE : arg2'=1+arg2, arg3'=1+arg2, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1 Accelerated rule 3 with backward acceleration, yielding the new rule 29. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 3. Accelerating simple loops of location 3. Accelerating the following rules: 5: f64_0_test_LE -> f64_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 5 with backward acceleration, yielding the new rule 30. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 5. Accelerating simple loops of location 4. Accelerating the following rules: 7: f78_0_test_LE -> f78_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 7 with backward acceleration, yielding the new rule 31. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 7. Accelerating simple loops of location 5. Accelerating the following rules: 9: f92_0_test_LE -> f92_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 9 with backward acceleration, yielding the new rule 32. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 9. Accelerating simple loops of location 6. Accelerating the following rules: 11: f106_0_test_LE -> f106_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 11 with backward acceleration, yielding the new rule 33. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 11. Accelerating simple loops of location 7. Accelerating the following rules: 13: f120_0_test_LE -> f120_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 13 with backward acceleration, yielding the new rule 34. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 13. Accelerating simple loops of location 8. Accelerating the following rules: 15: f134_0_test_LE -> f134_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 15 with backward acceleration, yielding the new rule 35. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 15. Accelerating simple loops of location 9. Accelerating the following rules: 17: f148_0_test_LE -> f148_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 17 with backward acceleration, yielding the new rule 36. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 17. Accelerating simple loops of location 10. Accelerating the following rules: 19: f162_0_test_LE -> f162_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 19 with backward acceleration, yielding the new rule 37. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 19. Accelerating simple loops of location 11. Accelerating the following rules: 21: f176_0_test_LE -> f176_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 21 with backward acceleration, yielding the new rule 38. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 21. Accelerating simple loops of location 12. Accelerating the following rules: 23: f190_0_test_LE -> f190_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 23 with backward acceleration, yielding the new rule 39. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 23. Accelerating simple loops of location 13. Accelerating the following rules: 25: f204_0_test_LE -> f204_0_test_LE : arg2'=-1+arg2, arg3'=-1+arg2, [ arg2>0 && arg2==arg3 ], cost: 1 Accelerated rule 25 with backward acceleration, yielding the new rule 40. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 25. Accelerating simple loops of location 14. Accelerating the following rules: 27: f218_0_test_LE -> f218_0_test_LE : arg1'=-1+arg1, arg2'=arg2P_28, arg3'=arg3P_28, [ arg1>0 ], cost: 1 Accelerated rule 27 with backward acceleration, yielding the new rule 41. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 27. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f31_0_main_Cmp : arg1'=arg2, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f31_0_main_Cmp -> f43_0_main_GE : arg2'=arg1, arg3'=arg1, [], cost: 1 2: f43_0_main_GE -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>99 && arg2==arg3 ], cost: 1 4: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg3'=arg2, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1 29: f43_0_main_GE -> f43_0_main_GE : arg2'=100, arg3'=100, [ arg2>0 && arg2==arg3 && 100-arg2>=1 ], cost: 100-arg2 6: f64_0_test_LE -> f78_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 30: f64_0_test_LE -> f64_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 8: f78_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 31: f78_0_test_LE -> f78_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 10: f92_0_test_LE -> f106_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 32: f92_0_test_LE -> f92_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 12: f106_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 33: f106_0_test_LE -> f106_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 14: f120_0_test_LE -> f134_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 34: f120_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 16: f134_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 35: f134_0_test_LE -> f134_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 18: f148_0_test_LE -> f162_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 36: f148_0_test_LE -> f148_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 20: f162_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 37: f162_0_test_LE -> f162_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 22: f176_0_test_LE -> f190_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 38: f176_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 24: f190_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 39: f190_0_test_LE -> f190_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 26: f204_0_test_LE -> f218_0_test_LE : arg2'=arg2P_27, arg3'=arg3P_27, [ 0==arg2 && 0==arg3 ], cost: 1 40: f204_0_test_LE -> f204_0_test_LE : arg2'=0, arg3'=0, [ arg2==arg3 && arg2>=1 ], cost: arg2 41: f218_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ arg1>=1 ], cost: arg1 28: __init -> f1_0_main_Load : arg1'=arg1P_29, arg2'=arg2P_29, arg3'=arg3P_29, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f31_0_main_Cmp : arg1'=arg2, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f31_0_main_Cmp -> f43_0_main_GE : arg2'=arg1, arg3'=arg1, [], cost: 1 42: f31_0_main_Cmp -> f43_0_main_GE : arg2'=100, arg3'=100, [ arg1>0 && 100-arg1>=1 ], cost: 101-arg1 2: f43_0_main_GE -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>99 && arg2==arg3 ], cost: 1 4: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg3'=arg2, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1 43: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg2'=0, arg3'=0, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1+arg2 6: f64_0_test_LE -> f78_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 44: f64_0_test_LE -> f78_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 8: f78_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 45: f78_0_test_LE -> f92_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 10: f92_0_test_LE -> f106_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 46: f92_0_test_LE -> f106_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 12: f106_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 47: f106_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 14: f120_0_test_LE -> f134_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 48: f120_0_test_LE -> f134_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 16: f134_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 49: f134_0_test_LE -> f148_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 18: f148_0_test_LE -> f162_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 50: f148_0_test_LE -> f162_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 20: f162_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 51: f162_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 22: f176_0_test_LE -> f190_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 52: f176_0_test_LE -> f190_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 24: f190_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 53: f190_0_test_LE -> f204_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 26: f204_0_test_LE -> f218_0_test_LE : arg2'=arg2P_27, arg3'=arg3P_27, [ 0==arg2 && 0==arg3 ], cost: 1 54: f204_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 28: __init -> f1_0_main_Load : arg1'=arg1P_29, arg2'=arg2P_29, arg3'=arg3P_29, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 0: f1_0_main_Load -> f31_0_main_Cmp : arg1'=arg2, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f31_0_main_Cmp -> f43_0_main_GE : arg2'=arg1, arg3'=arg1, [], cost: 1 42: f31_0_main_Cmp -> f43_0_main_GE : arg2'=100, arg3'=100, [ arg1>0 && 100-arg1>=1 ], cost: 101-arg1 2: f43_0_main_GE -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>99 && arg2==arg3 ], cost: 1 4: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg3'=arg2, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1 43: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg2'=0, arg3'=0, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1+arg2 6: f64_0_test_LE -> f78_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 44: f64_0_test_LE -> f78_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 8: f78_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 45: f78_0_test_LE -> f92_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 10: f92_0_test_LE -> f106_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 46: f92_0_test_LE -> f106_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 12: f106_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 47: f106_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 14: f120_0_test_LE -> f134_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 48: f120_0_test_LE -> f134_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 16: f134_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 49: f134_0_test_LE -> f148_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 18: f148_0_test_LE -> f162_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 50: f148_0_test_LE -> f162_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 20: f162_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 51: f162_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 22: f176_0_test_LE -> f190_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 52: f176_0_test_LE -> f190_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 24: f190_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 53: f190_0_test_LE -> f204_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 54: f204_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 28: __init -> f1_0_main_Load : arg1'=arg1P_29, arg2'=arg2P_29, arg3'=arg3P_29, [], cost: 1 Eliminated locations (on linear paths): Start location: __init 1: f31_0_main_Cmp -> f43_0_main_GE : arg2'=arg1, arg3'=arg1, [], cost: 1 42: f31_0_main_Cmp -> f43_0_main_GE : arg2'=100, arg3'=100, [ arg1>0 && 100-arg1>=1 ], cost: 101-arg1 2: f43_0_main_GE -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>99 && arg2==arg3 ], cost: 1 4: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg3'=arg2, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1 43: f43_0_main_GE -> f64_0_test_LE : arg1'=arg2, arg2'=0, arg3'=0, [ arg2>0 && arg2<100 && arg2==arg3 ], cost: 1+arg2 6: f64_0_test_LE -> f78_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 44: f64_0_test_LE -> f78_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 8: f78_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 45: f78_0_test_LE -> f92_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 10: f92_0_test_LE -> f106_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 46: f92_0_test_LE -> f106_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 12: f106_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 47: f106_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 14: f120_0_test_LE -> f134_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 48: f120_0_test_LE -> f134_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 16: f134_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 49: f134_0_test_LE -> f148_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 18: f148_0_test_LE -> f162_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 50: f148_0_test_LE -> f162_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 20: f162_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 51: f162_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 22: f176_0_test_LE -> f190_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 52: f176_0_test_LE -> f190_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 24: f190_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 ], cost: 1 53: f190_0_test_LE -> f204_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 54: f204_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 55: __init -> f31_0_main_Cmp : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>-1 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: __init 56: f31_0_main_Cmp -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>99 ], cost: 2 57: f31_0_main_Cmp -> f64_0_test_LE : arg1'=arg1, arg2'=arg1, arg3'=arg1, [ arg1>0 && arg1<100 ], cost: 2 58: f31_0_main_Cmp -> f64_0_test_LE : arg1'=arg1, arg2'=0, arg3'=0, [ arg1>0 && arg1<100 ], cost: 2+arg1 59: f31_0_main_Cmp -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && 100-arg1>=1 ], cost: 102-arg1 60: f31_0_main_Cmp -> [29] : [ arg1>0 && 100-arg1>=1 ], cost: 101-arg1 61: f64_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 62: f64_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 63: f64_0_test_LE -> f92_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 64: f92_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 65: f92_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 66: f92_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 67: f120_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 68: f120_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 69: f120_0_test_LE -> f148_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 70: f148_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 71: f148_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 72: f148_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 73: f176_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 74: f176_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 75: f176_0_test_LE -> f204_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 54: f204_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 55: __init -> f31_0_main_Cmp : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>-1 ], cost: 2 Accelerating simple loops of location 1. Accelerating the following rules: 56: f31_0_main_Cmp -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>99 ], cost: 2 59: f31_0_main_Cmp -> f31_0_main_Cmp : arg1'=-1+arg1, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && 100-arg1>=1 ], cost: 102-arg1 Accelerated rule 56 with backward acceleration, yielding the new rule 76. Accelerated rule 59 with backward acceleration, yielding the new rule 77. [accelerate] Nesting with 2 inner and 2 outer candidates Removing the simple loops: 56 59. Accelerated all simple loops using metering functions (where possible): Start location: __init 57: f31_0_main_Cmp -> f64_0_test_LE : arg1'=arg1, arg2'=arg1, arg3'=arg1, [ arg1>0 && arg1<100 ], cost: 2 58: f31_0_main_Cmp -> f64_0_test_LE : arg1'=arg1, arg2'=0, arg3'=0, [ arg1>0 && arg1<100 ], cost: 2+arg1 60: f31_0_main_Cmp -> [29] : [ arg1>0 && 100-arg1>=1 ], cost: 101-arg1 76: f31_0_main_Cmp -> f31_0_main_Cmp : arg1'=99, arg2'=arg2P_3, arg3'=arg3P_3, [ -99+arg1>=1 ], cost: -198+2*arg1 77: f31_0_main_Cmp -> f31_0_main_Cmp : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ 100-arg1>=1 && arg1>=1 ], cost: -1/2*arg1^2+203/2*arg1 61: f64_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 62: f64_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 63: f64_0_test_LE -> f92_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 64: f92_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 65: f92_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 66: f92_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 67: f120_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 68: f120_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 69: f120_0_test_LE -> f148_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 70: f148_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 71: f148_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 72: f148_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 73: f176_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 74: f176_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 75: f176_0_test_LE -> f204_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 54: f204_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 55: __init -> f31_0_main_Cmp : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>-1 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: __init 57: f31_0_main_Cmp -> f64_0_test_LE : arg1'=arg1, arg2'=arg1, arg3'=arg1, [ arg1>0 && arg1<100 ], cost: 2 58: f31_0_main_Cmp -> f64_0_test_LE : arg1'=arg1, arg2'=0, arg3'=0, [ arg1>0 && arg1<100 ], cost: 2+arg1 60: f31_0_main_Cmp -> [29] : [ arg1>0 && 100-arg1>=1 ], cost: 101-arg1 61: f64_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 62: f64_0_test_LE -> f92_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 63: f64_0_test_LE -> f92_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 64: f92_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 65: f92_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 66: f92_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 67: f120_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 68: f120_0_test_LE -> f148_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 69: f120_0_test_LE -> f148_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 70: f148_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 71: f148_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 72: f148_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 73: f176_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 2 74: f176_0_test_LE -> f204_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 75: f176_0_test_LE -> f204_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 54: f204_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 1+arg1 55: __init -> f31_0_main_Cmp : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>-1 ], cost: 2 78: __init -> f31_0_main_Cmp : arg1'=99, arg2'=arg2P_3, arg3'=arg3P_3, [ -99+arg2P_29>=1 ], cost: -196+2*arg2P_29 79: __init -> f31_0_main_Cmp : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ 100-arg2P_29>=1 && arg2P_29>=1 ], cost: 2+203/2*arg2P_29-1/2*arg2P_29^2 Eliminated locations (on tree-shaped paths): Start location: __init 87: f64_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 4 88: f64_0_test_LE -> f120_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 4+3*arg1 89: f64_0_test_LE -> f120_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 4+4*arg1 90: f64_0_test_LE -> [32] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 91: f64_0_test_LE -> [32] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 92: f120_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && 0==arg1 ], cost: 4 93: f120_0_test_LE -> f176_0_test_LE : arg2'=arg1, arg3'=arg1, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 4+3*arg1 94: f120_0_test_LE -> f176_0_test_LE : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 4+4*arg1 95: f120_0_test_LE -> [33] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 96: f120_0_test_LE -> [33] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 97: f176_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 3+3*arg1 98: f176_0_test_LE -> [34] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 80: __init -> f64_0_test_LE : arg1'=arg2P_29, arg2'=arg2P_29, arg3'=arg2P_29, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 4 81: __init -> f64_0_test_LE : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 4+arg2P_29 82: __init -> [29] : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>0 && 100-arg2P_29>=1 ], cost: 103-arg2P_29 83: __init -> f64_0_test_LE : arg1'=99, arg2'=99, arg3'=99, [ -99+arg2P_29>=1 ], cost: -194+2*arg2P_29 84: __init -> f64_0_test_LE : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: -95+2*arg2P_29 85: __init -> [29] : arg1'=99, arg2'=arg2P_3, arg3'=arg3P_3, [ -99+arg2P_29>=1 ], cost: -194+2*arg2P_29 86: __init -> [31] : [ 100-arg2P_29>=1 && arg2P_29>=1 ], cost: 2+203/2*arg2P_29-1/2*arg2P_29^2 Eliminated locations (on tree-shaped paths): Start location: __init 95: f120_0_test_LE -> [33] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 96: f120_0_test_LE -> [33] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 110: f120_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 7+7*arg1 111: f120_0_test_LE -> [34] : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 6+5*arg1 112: f120_0_test_LE -> [36] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 4+3*arg1 82: __init -> [29] : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>0 && 100-arg2P_29>=1 ], cost: 103-arg2P_29 85: __init -> [29] : arg1'=99, arg2'=arg2P_3, arg3'=arg3P_3, [ -99+arg2P_29>=1 ], cost: -194+2*arg2P_29 86: __init -> [31] : [ 100-arg2P_29>=1 && arg2P_29>=1 ], cost: 2+203/2*arg2P_29-1/2*arg2P_29^2 99: __init -> f120_0_test_LE : arg1'=arg2P_29, arg2'=arg2P_29, arg3'=arg2P_29, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 8+4*arg2P_29 100: __init -> f120_0_test_LE : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 8+5*arg2P_29 101: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+2*arg2P_29 102: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+3*arg2P_29 103: __init -> f120_0_test_LE : arg1'=99, arg2'=99, arg3'=99, [ -99+arg2P_29>=1 ], cost: 206+2*arg2P_29 104: __init -> f120_0_test_LE : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 305+2*arg2P_29 105: __init -> [32] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 6+2*arg2P_29 106: __init -> [32] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 105+2*arg2P_29 107: __init -> [35] : [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 4+arg2P_29 108: __init -> [35] : [ -99+arg2P_29>=1 ], cost: -194+2*arg2P_29 109: __init -> [35] : [ -99+arg2P_29>=1 ], cost: -95+2*arg2P_29 Merged rules: Start location: __init 95: f120_0_test_LE -> [33] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+arg1 96: f120_0_test_LE -> [33] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 2+2*arg1 110: f120_0_test_LE -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 7+7*arg1 111: f120_0_test_LE -> [34] : arg2'=0, arg3'=0, [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 6+5*arg1 112: f120_0_test_LE -> [36] : [ 0==arg2 && 0==arg3 && arg1>=1 ], cost: 4+3*arg1 82: __init -> [29] : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>0 && 100-arg2P_29>=1 ], cost: 103-arg2P_29 85: __init -> [29] : arg1'=99, arg2'=arg2P_3, arg3'=arg3P_3, [ -99+arg2P_29>=1 ], cost: -194+2*arg2P_29 86: __init -> [31] : [ 100-arg2P_29>=1 && arg2P_29>=1 ], cost: 2+203/2*arg2P_29-1/2*arg2P_29^2 99: __init -> f120_0_test_LE : arg1'=arg2P_29, arg2'=arg2P_29, arg3'=arg2P_29, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 8+4*arg2P_29 100: __init -> f120_0_test_LE : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 8+5*arg2P_29 101: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+2*arg2P_29 102: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+3*arg2P_29 103: __init -> f120_0_test_LE : arg1'=99, arg2'=99, arg3'=99, [ -99+arg2P_29>=1 ], cost: 206+2*arg2P_29 104: __init -> f120_0_test_LE : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 305+2*arg2P_29 107: __init -> [35] : [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 4+arg2P_29 113: __init -> [32] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 105+2*arg2P_29 114: __init -> [35] : [ -99+arg2P_29>=1 ], cost: -95+2*arg2P_29 Eliminated locations (on tree-shaped paths): Start location: __init 82: __init -> [29] : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>0 && 100-arg2P_29>=1 ], cost: 103-arg2P_29 85: __init -> [29] : arg1'=99, arg2'=arg2P_3, arg3'=arg3P_3, [ -99+arg2P_29>=1 ], cost: -194+2*arg2P_29 86: __init -> [31] : [ 100-arg2P_29>=1 && arg2P_29>=1 ], cost: 2+203/2*arg2P_29-1/2*arg2P_29^2 101: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+2*arg2P_29 102: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+3*arg2P_29 107: __init -> [35] : [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 4+arg2P_29 113: __init -> [32] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 105+2*arg2P_29 114: __init -> [35] : [ -99+arg2P_29>=1 ], cost: -95+2*arg2P_29 115: __init -> [33] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 10+6*arg2P_29 116: __init -> [33] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 10+7*arg2P_29 117: __init -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 15+12*arg2P_29 118: __init -> [34] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 14+10*arg2P_29 119: __init -> [36] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 12+8*arg2P_29 120: __init -> [33] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 406+2*arg2P_29 121: __init -> [33] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 505+2*arg2P_29 122: __init -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ -99+arg2P_29>=1 ], cost: 1005+2*arg2P_29 123: __init -> [34] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 806+2*arg2P_29 124: __init -> [36] : arg1'=99, arg2'=0, arg3'=0, [ -99+arg2P_29>=1 ], cost: 606+2*arg2P_29 125: __init -> [37] : [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 8+4*arg2P_29 126: __init -> [37] : [ -99+arg2P_29>=1 ], cost: 206+2*arg2P_29 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 82: __init -> [29] : arg1'=arg2P_29, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_29>0 && arg2P_29>0 && 100-arg2P_29>=1 ], cost: 103-arg2P_29 86: __init -> [31] : [ 100-arg2P_29>=1 && arg2P_29>=1 ], cost: 2+203/2*arg2P_29-1/2*arg2P_29^2 101: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+2*arg2P_29 102: __init -> [32] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 6+3*arg2P_29 107: __init -> [35] : [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 4+arg2P_29 115: __init -> [33] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 10+6*arg2P_29 116: __init -> [33] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 10+7*arg2P_29 117: __init -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 15+12*arg2P_29 118: __init -> [34] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 14+10*arg2P_29 119: __init -> [36] : arg1'=arg2P_29, arg2'=0, arg3'=0, [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 12+8*arg2P_29 122: __init -> f218_0_test_LE : arg1'=0, arg2'=arg2P_28, arg3'=arg3P_28, [ -99+arg2P_29>=1 ], cost: 1005+2*arg2P_29 125: __init -> [37] : [ arg1P_29>0 && arg2P_29>0 && arg2P_29<100 ], cost: 8+4*arg2P_29 Computing asymptotic complexity for rule 86 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 122 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 82 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 101 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 102 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 107 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 115 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 116 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 117 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 118 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 119 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 125 Resulting cost 0 has complexity: Unknown Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [] WORST_CASE(Omega(1),?)